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Gauge Theory and the Topology of Four-Manifolds
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- Buy it nowGauge Theory and the Topology of Four-Manifolds, Hardcover by Friedman, Rober...
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Item specifics
- Condition
- Book Title
- Gauge Theory and the Topology of Four-Manifolds
- ISBN
- 9780821805916
- Publication Year
- 1998
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Gauge Theory and the Topology of Four-Manifolds
- Publisher
- American Mathematical Society
- Subject
- Mathematics
- Number of Pages
- 221 Pages
About this product
Product Information
The lectures in this volume provide a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten theory. One reason the progress using the Seiberg-Witten invariants was so spectacular was that those studying $SU(2)$-gauge theory had more than ten years' experience with the subject. The tools had been honed, the correct questions formulated, and the basic strategies well understood. The knowledge immediately bore fruit in the technically simpler environment of the Seiberg-Witten theory. Gauge theory long predates Donaldson's applications of the subject to 4-manifold topology, where the central concern was the geometry of the moduli space.One reason for the interest in this study is the connection between the gauge theory moduli spaces of a Kahler manifold and the algebro-geometric moduli space of stable holomorphic bundles over the manifold. The extra geometric richness of the $SU(2)$ - moduli spaces may one day be important for purposes beyond the algebraic invariants that have been studied to date. It is for this reason that the results presented in this volume will be essential.
Product Identifiers
Publisher
American Mathematical Society
ISBN-13
9780821805916
eBay Product ID (ePID)
86551290
Product Key Features
Publication Name
Gauge Theory and the Topology of Four-Manifolds
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
1998
Type
Textbook
Number of Pages
221 Pages
Additional Product Features
Series Title
Ias/Park City Mathematics Series
Country/Region of Manufacture
United States
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